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Asymptotically unit-rate storage codes from binary BCH codes

Zabokritskiy, Aryeh Lev
arXiv (All) · Papers
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combinatoricsinformation-theory
A storage code on a graph assigns a symbol to each vertex so that the symbol can be recovered from its neighbors. We prove that the binary full-parity storage codes on triangle-free coset graphs of primitive BCH codes have rate tending to one for every fixed error-correction capability of at least t
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